Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
The problem states that the gradient of the line joining points $M(4, 3x)$ and $N(-2x, 1)$ is $\frac...
Coordinate GeometryGradientDistance FormulaLine SegmentAlgebra
2025/6/3
The problem asks us to sketch the graph of the polar equation $r = 2\sin(2\theta)$.
Polar CoordinatesGraphingPolar EquationsFour-Leaf Rose
2025/6/3
The problem asks to convert Cartesian coordinates to cylindrical coordinates for two points: (a) $(2...
Coordinate Geometry3D GeometryCoordinate SystemsCartesian CoordinatesCylindrical CoordinatesCoordinate Transformation
2025/6/3
The problem asks to convert two points from spherical coordinates to Cartesian coordinates. (a) The ...
Coordinate GeometrySpherical CoordinatesCartesian CoordinatesCoordinate Transformation
2025/6/3
The problem asks to identify and sketch the graph of the equation $z = \sqrt{x^2 + y^2} + 1$ in thre...
3D GeometryConeSurface SketchingEquation of a SurfaceCoordinate Geometry
2025/6/3
The problem asks to identify and sketch the graph of equations in three-dimensional space. We will s...
3D GeometryEllipsoidsPlanesCylindersSpheresConesGraphing Equations
2025/6/3
The problem asks us to identify and sketch the equations in three-space. We will solve question numb...
3D GeometryElliptic CylinderConic SectionsEquation of a Surface
2025/6/3
The problem asks to find the symmetric equations of the tangent line to the curve defined by the vec...
Vector CalculusTangent LinesParametric EquationsSymmetric Equations3D Geometry
2025/6/3
We are asked to find the equation of the plane that contains two parallel lines given in parametric ...
3D GeometryPlanesVectorsCross ProductParametric Equations
2025/6/3
We are asked to find the symmetric equations of the line of intersection of the two planes: $x + 4y ...
LinesPlanesIntersectionVectorsCross ProductSymmetric Equations
2025/6/3